The length and breadth of a square are increased by 30% and 20% respectively. By what percent is the area of the rectangle so formed exceeds the area of the square?

Let square side = 100. New length = 130, breadth = 120. Rectangle area = (130 \cdot 120 = 15,600), square area = (100 \cdot 100 = 10,000). Increase = (15,600 - 10,000 = 5,600). Percent increase = ((5,600 \div 10,000) \cdot 100 = 56%). Studying this highlights area calculations, providing lessons on geometric scaling in design.